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432 papers · 1 filter
Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture
Peter Knabner, Jean Roberts
We consider a model for flow in a porous medium with a fracture in which the flow in the fracture is governed by the Darcy-Forchheimer law while that in the surrounding matrix is g…
Reasoning and Improving on Software Resilience against Unanticipated Exceptions
Benoit Cornu, Lionel Seinturier, Martin Monperrus
In software, there are the errors anticipated at specification and design time, those encountered at development and testing time, and those that happen in production mode yet neve…
The DFLU flux for systems of conservation laws
Adi Adimurthi, G. D. Veerappa Gowda, Jérôme Jaffré
The DFLU numerical flux was introduced in order to solve hyperbolic scalar conservation laws with a flux function discontinuous in space. We show how this flux can be used to solve…
Gauge-reversing maps on cones, and Hilbert and Thompson isometries
Cormac Walsh
We show that a cone admits a gauge-reversing map if and only if it is a symmetric cone. We use this to prove that every isometry of a Hilbert geometry is a collineation unless the…
Using Latent Binary Variables for Online Reconstruction of Large Scale Systems
Victorin Martin, Jean-Marc Lasgouttes, Cyril Furtlehner
We propose a probabilistic graphical model realizing a minimal encoding of real variables dependencies based on possibly incomplete observation and an empirical cumulative distribu…
Gaussian linear state-space model for wind fields in the North-East Atlantic
Julie Bessac, Pierre Ailliot, Valerie Monbet
A space-time model for wind fields is proposed. It aims at simulating realistic wind conditions with a focus on reproducing the space-time motions of the meteorological systems. A…